Difference between revisions of "OCA:DryLife"
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|name = DryLife | |name = DryLife | ||
|imgname = drylife | |imgname = drylife | ||
|char = | |char = Explosive | ||
|b = 37 | |b = 37 | ||
|s = 23 | |s = 23 | ||
|ruleinteger = 6280 | |||
|reversal = B0123478/S0234678 | |||
}} | }} | ||
'''DryLife''' is a [[cellular automaton#Well-known Life-like cellular automata|Life-like cellular automaton]] in which [[cell]]s survive from one generation to the next if they have 2 or 3 [[neighbours]], and are born if they have 3 or 7 neighbours. | '''DryLife''' is a [[cellular automaton#Well-known Life-like cellular automata|Life-like cellular automaton]] in which [[cell]]s survive from one generation to the next if they have 2 or 3 [[neighbours]], and are born if they have 3 or 7 neighbours. | ||
==Patterns== | ==Patterns== | ||
{{EmbedViewer | |||
DryLife is so named because the standard | |pname = drylifeflowergarden | ||
|position = right | |||
|caption = The flower garden | |||
}} | |||
DryLife is so named because the [[standard spaceship]]s from [[Conway's Life|normal life]]; [[lightweight spaceship]], [[middleweight spaceship]], and [[heavyweight spaceship]] — also known as "fishes" — do not work, though the glider does. Some other spaceships, such as the [[weekender]] and [[loafer]], work in this rule. The [[copperhead]] evolves into the closely related c/10 ''goldenhead'', differing from copperhead by two cells in one phase. | |||
Two correctly spaced [[B-heptomino]]es (as in the [[twin bees shuttle]]) act as a [[c/2 orthogonal]] [[puffer]]. | Two correctly spaced [[B-heptomino]]es (as in the [[twin bees shuttle]]) act as a [[c/2 orthogonal]] [[puffer]]. | ||
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A new speed allowed by DryLife is 9c/28 orthogonal. Technology travelling at this speed relies on the [[R-pentomino]]. There is a small 9c/28 orthogonal [[pond]] puffer, and a 9c/28 spaceship. [[Gun]]s and [[breeder]]s have been constructed that fire spaceships and [[rake]]s of this speed respectively. | A new speed allowed by DryLife is 9c/28 orthogonal. Technology travelling at this speed relies on the [[R-pentomino]]. There is a small 9c/28 orthogonal [[pond]] puffer, and a 9c/28 spaceship. [[Gun]]s and [[breeder]]s have been constructed that fire spaceships and [[rake]]s of this speed respectively. | ||
The "flower garden", a common constellation which evolves from [[honey farm]] predecessors, composed of | The "flower garden", a common constellation which evolves from [[honey farm]] predecessors, composed of two [[bi-boat]]s and two [[cis-mirrored R-bee]]s, is shown to the right. It also evolves when a [[pulsar]] is sabotaged.{{citation needed}} | ||
==Universality== | |||
There is a proof sketch of this rule's universality as well as an explicit [https://en.wikipedia.org/wiki/Rule_110 Rule 110] [[unit cell]].<ref>{{cite web|url=http://www.conwaylife.com/forums/viewtopic.php?f=11&t=2597&start=25#p62446|title=List of the Turing-complete totalistic life-like CA|author=Peter Naszvadi|work=ConwayLife.com forums|date=August 7, 2018|accessdate=May 17, 2019}}</ref> In the same topic on ConwayLife forums,<ref>{{cite web|url=http://conwaylife.com/forums/viewtopic.php?f=11&t=2597#p38167|title=List of the Turing-complete totalistic life-like CA|author=Peter Naszvadi|work=ConwayLife.com forums|date=December 12, 2016|accessdate=May 17, 2019}}</ref> there is a proof-scheme covering all rules in the [[outer-totalistic]] [[rulespace]] between [[B3/S23]] and B3678/S23678. | |||
An explicit [https://en.wikipedia.org/wiki/Rule_110 Rule 110] [[unit cell]] construction<ref>{{cite web|url=http://www.conwaylife.com/forums/viewtopic.php?f=11&t=2597&start=25#p58579|title=Explicit Rule-110 Unit Cell Construction for DryLife|author=Peter Naszvadi|date=March 29, 2018}}</ref> proves its Turing-completeness; the pattern itself is basically a meta-polyglot, covering some related cellular automata in which the pattern only differs in some parts (in this case, the guns). | |||
==References== | |||
<references /> | |||
==External links== | |||
{{LinkEppsteinRule|b37s23}} | |||
{{LinkCatagolueRule|b37s23}} | |||
{{LinkForumThread|f=11|t=2705|title=Taming B37/S23}} | |||
Revision as of 21:23, 6 March 2020
| DryLife | |
| View static image | |
| Rulestring | 23/37 B37/S23 |
|---|---|
| Rule integer | 6280 |
| Character | Explosive |
| Black/white reversal | B0123478/S0234678 |
DryLife is a Life-like cellular automaton in which cells survive from one generation to the next if they have 2 or 3 neighbours, and are born if they have 3 or 7 neighbours.
Patterns
DryLife is so named because the standard spaceships from normal life; lightweight spaceship, middleweight spaceship, and heavyweight spaceship — also known as "fishes" — do not work, though the glider does. Some other spaceships, such as the weekender and loafer, work in this rule. The copperhead evolves into the closely related c/10 goldenhead, differing from copperhead by two cells in one phase.
Two correctly spaced B-heptominoes (as in the twin bees shuttle) act as a c/2 orthogonal puffer.
A new speed allowed by DryLife is 9c/28 orthogonal. Technology travelling at this speed relies on the R-pentomino. There is a small 9c/28 orthogonal pond puffer, and a 9c/28 spaceship. Guns and breeders have been constructed that fire spaceships and rakes of this speed respectively.
The "flower garden", a common constellation which evolves from honey farm predecessors, composed of two bi-boats and two cis-mirrored R-bees, is shown to the right. It also evolves when a pulsar is sabotaged.[citation needed]
Universality
There is a proof sketch of this rule's universality as well as an explicit Rule 110 unit cell.[1] In the same topic on ConwayLife forums,[2] there is a proof-scheme covering all rules in the outer-totalistic rulespace between B3/S23 and B3678/S23678.
An explicit Rule 110 unit cell construction[3] proves its Turing-completeness; the pattern itself is basically a meta-polyglot, covering some related cellular automata in which the pattern only differs in some parts (in this case, the guns).
References
- ↑ Peter Naszvadi (August 7, 2018). "List of the Turing-complete totalistic life-like CA". ConwayLife.com forums. Retrieved on May 17, 2019.
- ↑ Peter Naszvadi (December 12, 2016). "List of the Turing-complete totalistic life-like CA". ConwayLife.com forums. Retrieved on May 17, 2019.
- ↑ Peter Naszvadi (March 29, 2018). "Explicit Rule-110 Unit Cell Construction for DryLife".
External links
DryLife at David Eppstein's Glider Database DryLife at Adam P. Goucher's Catagolue
- Taming B37/S23 (discussion thread) at the ConwayLife.com forums